Increasing function

Task number: 3052

Prove that \((1+1/x)^x\) is an increasing function (for \(x \in \mathbb R^+\)).

  • Hint

    After you differentiate the function, try to infer that the derivative is non-negative using one of the preceding examples.

Difficulty level: Moderate task
Routine calculation training
Cs translation
Send comment on task by email